GDMSeminar: Abstracts of the Talks (2021/10)

Klas Modin (Chalmers University of Technology, Sweden)
What makes nonholonomic integrators work?

Tuesday, May 25, 2021 , 15:15 GMT

Abstract:  A "nonholonomic integrator" is a numerical method specifically designed for nonholonomic systems. But what does that mean? In this talk I show that KAM theory can be used to rigorously explain the observed superior behaviour of such methods (in terms of near conservation of integrals for integrable systems). I also give examples of integrable nonholonomic systems for which nonholonomic integrators fail to nearly conserve the integrals.